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If s1=0.0782,n1=9, s2=0.1897, and n2=10\mathrm { s } _ { 1 } = 0.0782 , \mathrm { n } _ { 1 } = 9 , \mathrm {~s} _ { 2 } = 0.1897 , \text { and } \mathrm { n } _ { 2 } = 10

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If s1=0.0782,n1=9, s2=0.1897, and n2=10\mathrm { s } _ { 1 } = 0.0782 , \mathrm { n } _ { 1 } = 9 , \mathrm {~s} _ { 2 } = 0.1897 , \text { and } \mathrm { n } _ { 2 } = 10 test whether σ1<σ2\sigma 1 < \sigma _ { 2 } at the α = 0.05level of significance. Assume the populations are normally distributed.

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